What is the Least Common Multiple of 72510 and 72524?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 72510 and 72524 is 2629357620.
LCM(72510,72524) = 2629357620
Least Common Multiple of 72510 and 72524 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72510 and 72524, than apply into the LCM equation.
GCF(72510,72524) = 2
LCM(72510,72524) = ( 72510 × 72524) / 2
LCM(72510,72524) = 5258715240 / 2
LCM(72510,72524) = 2629357620
Least Common Multiple (LCM) of 72510 and 72524 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 72510 and 72524. First we will calculate the prime factors of 72510 and 72524.
Prime Factorization of 72510
Prime factors of 72510 are 2, 3, 5, 2417. Prime factorization of 72510 in exponential form is:
72510 = 21 × 31 × 51 × 24171
Prime Factorization of 72524
Prime factors of 72524 are 2, 18131. Prime factorization of 72524 in exponential form is:
72524 = 22 × 181311
Now multiplying the highest exponent prime factors to calculate the LCM of 72510 and 72524.
LCM(72510,72524) = 22 × 31 × 51 × 24171 × 181311
LCM(72510,72524) = 2629357620
Related Least Common Multiples of 72510
- LCM of 72510 and 72514
- LCM of 72510 and 72515
- LCM of 72510 and 72516
- LCM of 72510 and 72517
- LCM of 72510 and 72518
- LCM of 72510 and 72519
- LCM of 72510 and 72520
- LCM of 72510 and 72521
- LCM of 72510 and 72522
- LCM of 72510 and 72523
- LCM of 72510 and 72524
- LCM of 72510 and 72525
- LCM of 72510 and 72526
- LCM of 72510 and 72527
- LCM of 72510 and 72528
- LCM of 72510 and 72529
- LCM of 72510 and 72530
Related Least Common Multiples of 72524
- LCM of 72524 and 72528
- LCM of 72524 and 72529
- LCM of 72524 and 72530
- LCM of 72524 and 72531
- LCM of 72524 and 72532
- LCM of 72524 and 72533
- LCM of 72524 and 72534
- LCM of 72524 and 72535
- LCM of 72524 and 72536
- LCM of 72524 and 72537
- LCM of 72524 and 72538
- LCM of 72524 and 72539
- LCM of 72524 and 72540
- LCM of 72524 and 72541
- LCM of 72524 and 72542
- LCM of 72524 and 72543
- LCM of 72524 and 72544